The finite-volume tag has no wiki summary.
-1
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0answers
33 views
How to implement the staggered grid for 1 D problem? [closed]
I am working on 1 D numerical code of pulse tube cryocooler. I need to use staggered grid to avoid problem of wavy velocity field. Please help how to set variables in new grid with respect to main ...
12
votes
1answer
134 views
How should boundary conditions be applied when using finite-volume method?
Following from my previous question I am trying to apply boundary conditions to this non-uniform finite volume mesh,
I would like to apply a Robin type boundary condition to the l.h.s. of the ...
5
votes
1answer
56 views
Are we free to choose the position of ghost cells on a non-uniform finite-volume mesh?
Following Hundsdorfer approach the finite volume discretisation of the advection-diffusion equation (conservative form) on non-uniform cell centered grid can be written as,
$$
w_j^{\prime} = ...
8
votes
3answers
115 views
How should non-constant coefficients be treated with finite-volume first order upwind scheme?
Starting with the advection equation in conservation form.
$$
u_t = (a(x)u)_x
$$
where $a(x)$ is a velocity which depend on space, and $u$ is a concentration of a species which is conserved.
...
2
votes
1answer
45 views
Effect of Normalization in Unknowns
When solving a FV formulation of a set of equations, a code I am currently working with has user defined normalization factors for scaling equations. It normalizes time, number densities, potential, ...
7
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0answers
96 views
Connections between Differential Forms and the second order Finite Volume Method
Reading today about the theory of differential forms, I was left impressed how much it reminded me of second order Finite Volume Method (FVM).
I'm struggling to figure out is thinking this way just ...
8
votes
1answer
204 views
OpenFoam vs FiPy
I need to learn and utilize a finite volume automated solution package for a project I'm working on and have narrowed it down to these two packages. I was wondering if anybody has experience of both ...
2
votes
1answer
149 views
How to approximate flux (with gradient) when using finite volumes?
In finite volume method one is using cell averages. In nonlinear conservation laws discontinuities can be created in the solution process.
How to compute the flux when the flux contains a gradient ...
4
votes
2answers
119 views
How to do upwinding in finite volume schemes for nonlinear equations?
In finite difference theory, you learn, that you have to use upwinding for equations with high convection, like Burgers' equation. What does the finite volume equivalent look like? What if the ...
6
votes
1answer
123 views
Hybrid spatial schemes for CFD: any downside to blending versus switching?
Aside from extra computational cost due to having to compute both fluxes over a certain region, is there any downside to blend two flux evaluations for a hybrid scheme in a finite volume method? The ...
9
votes
2answers
212 views
What are some good data-types for unstructured cell-centered FVM CFD code?
I'm interested in an advice for efficient data structures for cell browsing in unstructured cell-based finite volume CFD.
One example that I encountered (in dolfyn cfd code) goes like this (I'll show ...
4
votes
1answer
381 views
Finite Volume Method vs. Finite Element Method for Eulerian and Lagrangian Reference Frames
As far as I can tell, finite volume methods are primarily for eulerian reference frames (such as in fluid dynamics simulations) while finite element methods are easily ameanable to lagrangian ...
5
votes
1answer
78 views
a priori error analysis of cell-centered finite-volume methods
I'm using the cell-centered finite-volume method (for example Morton, Numerical solution of convection-diffusion problems, Chapman&Hall, 1996) to discretize the advection-diffusion equation and ...
4
votes
1answer
247 views
PDE discretization with the method of rothe and the method of lines (Modular implementation)
The Heat equation is discretized in space with FV (or FEM), and a semi-discrete equation is obtained (system of ODEs). This approach, known as the method of lines, allows to easily switch from one ...
5
votes
2answers
184 views
Interpolation schemes to move data between cells and nodes
I work on non-graded quadtree grids where the entire grid is a hierarchy of cells specified using a quadtree data structure, where, in general, there is no constraint regarding the relative size of ...
2
votes
2answers
217 views
Finite volume solution of electrostatics using magnetic vector potential
I would like to solve for the electric potential and magnetic vector potential using the finite volume method (collocated grid). My equations are:
$\nabla\cdot(\sigma\nabla\phi)=0$
$\nabla \cdot ...
2
votes
1answer
101 views
High-resolution finite volume schemes for two phase flow (fields with jumps) literature sources
what other recent sources of literature on this topic would you recommend?
This is where I'm starting from:
Leveque's article: HRIC scheme
But the related articles seem to be a bit dated (some up ...
